Chapter 7




Example in the book
Exercises
Additional Tutorials

Review: Rational Expression

Appending AA41-45
Adding/Subtracting
https://www.youtube.com/watch?v=d3xr5a4cln0
https://www.youtube.com/watch?v=XTZl7Kn6u4Y
Multiplying/Dividing
https://www.youtube.com/watch?v=oUaIdqhCyTU
https://www.youtube.com/watch?v=MJaGrODQr1U
Writing in simplest terms/Simplifying:
https://www.youtube.com/watch?v=x6XyP2_RfA4
https://www.youtube.com/watch?v=KFmCt7vs8HI
Introduction to the inverse functions
p.353 Ex.1
Inverse functions


Graphing inverse functions of sin, cos, and tan


Part 1
Part 2 how to simplify expressions with inv. funct.

Simplifying expressions with inverse functions


Part 3
part 4

Remembering the Unit Circle values

Unit circle values


Convert polar coordinates into Cartesian


http://www.youtube.com/watch?v=UlkUFX0rk3Y

Calculate exact values of the multiples
of 30 and 45 degrees using unit circle


unit circle trick
http://www.youtube.com/watch?v=cIVpemcoAlY
http://youtu.be/AXxEv0P4IOI
http://www.youtube.com/watch?v=eh_rN2N-niE
Using reference angles to calculate exact values
Evaluating Trig Functions using ref. angles (rad)
Evaluating csc and sec using ref angles

Proving Basic Trigonometric Identities;
How to remember all the basic trig formulas


example 1
example 2
example 3

Proving random identities


strategies and examples
Verifying identities
trig identities with fractions Ex 1
trig identities with fractions Ex 2

Simplifying trig expressions using basic identities


example 1
Example 2
Example 3
Example 4
Factoring trigonometric expressions
Factoring example 2

Double angle and half angle identities


proving identities with double or half angle formulas
Deriving the formulas and examples
using double angle identities
evaluating expressions using half-angle formulasEx 1
half-angle ex 2
half-angle ex 3

Sums and Differences formulas


sum, difference, and half angles

Solving trig equations


to check your answers only!
https://www.symbolab.com/solver/trigonometric-equation-calculator

Finding a point of intersection of two graphs
with HP 83/84


https://www.youtube.com/watch?v=M-1QUYQbYHM

Finding intercepts of a graph with TI 83/84


https://www.youtube.com/watch?v=y5DTvHZO-vw

Graphing Cos x and Sin x


Graphing cos with amplitude and frequency change
Determine phase shift
Graphing cos and sin with phase shift Ex 1
Graphing cos and sin with phase shift Ex 2
Determine transformations from the equation
Graphing with changes in A, B, and shifts
Graphing period, amplitude, and phase shift

Graphing sec x and csc x


Graphing tan, cot, sec, csc
Graphing Sec x Ex 1
Graphing a csc x Ex 1
Graphing a csc x Ex 2





http://www.youtube.com/watch?v=hxjmtDXXCzU - inverse trig functions

http://www.youtube.com/watch?v=bBBUMHe900U -inverse trig functions
http://www.youtube.com/watch?v=R0RM6FeiD8k -graphs of six trig functions
http://www.youtube.com/watch?v=RdJjja1EHbk graphs of tan, cot, sin, cos

http://www.youtube.com/watch?v=eh_rN2N-niE